Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.3 - Vectors in the Plane - 8.3 Exercises - Page 585: 11


Not Equivalent

Work Step by Step

NOTE: Two vectors are equivalent when they have the same magnitude and direction. To find the direction, we can use the slope. Slope of $\overrightarrow{u}$: $\frac{\Delta y}{\Delta x} = \frac{4-2}{-1 - 2} = \frac{2}{-3} = -0.67$ Slope of $\overrightarrow{v}$: $\frac{\Delta y}{\Delta x} = \frac{2 - (-1)}{-5 - (-3)} = \frac{3}{-2} = -1.5$ Since the vectors have a different direction, they are not equivalent.
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